Exact solution of boundary value problems involving linear processes of growth and transport in addition polymerization

Exact mathematical descriptions are obtained for the following process. Polymers are initiated and then propagated by a chain addition reaction in a convectionless medium in a cylindrical vessel. An external field (e.g., gravity) may be present, and the polymers may diffuse to the vessel walls where...

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Bibliographic Details
Published in:The Journal of chemical physics 1989-08, Vol.91 (3), p.1875-1881
Main Authors: RABEONY, H. M, REISS, H
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Organic polymers
Physicochemistry of polymers
Polymerization
Preparation, kinetics, thermodynamics, mechanism and catalysts
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Summary:Exact mathematical descriptions are obtained for the following process. Polymers are initiated and then propagated by a chain addition reaction in a convectionless medium in a cylindrical vessel. An external field (e.g., gravity) may be present, and the polymers may diffuse to the vessel walls where they are irreversibly lost. Both chain transfer and termination are absent, but the propagation constants, diffusion coefficients, and mobilities in the field depend arbitrarily on polymer size. Exact expressions are derived for the concentrations of polymers of each size, as functions of time and position. The results are important to the study of gas phase polymerization, but may have other applications.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.457092